N.p + p for n = 3 and p = 6

Need help with this math question

maw [93]

ANSWER

The vertex of this parabola is (-7,4)

EXPLANATION

The given parabola has equation:

${y}^{2} - 4x - 8y - 12 = 0$

${y}^{2} - 8y = 4x +12$

Complete the square for the quadratic equation in y.

${y}^{2} - 8y + {( - 4)}^{2} = 4x + 12 + {( - 4)}^{2}$

${y}^{2} - 8y + {( - 4)}^{2} = 4x + 12 + 16$

${( y- 4)}^{2} = 4x + 28$

${( y- 4)}^{2} = 4(x +7)$

The vertex of this parabola is (-7,4)

5 0

4 years ago

Read 2 more answers

Which correctly describes how to determine the measure of angle 1?

liraira [26]

The first one is correct.

The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

Let's go through the rest of them.

The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

2 isn't an interior angle.

The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

Corresponding angles are congruent, with the same measure.

The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

81 and angle 2 aren't alternate interior and if they were they'd be congruent.

5 0

3 years ago

Read 2 more answers

A bag contains 3 gold marbles, 6 silver marbles, and 30 black marbles. The rules of the game are as follows: You randomly select

GaryK [48]

Answer:

The expected profit is $0.23077.

Step-by-step explanation:

From the given information it is clear that

Gold marbles = 3

Silver marbles = 6